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Finding the Fourth Proportional to 2,464.31, 3,697.07 and 1,640.54

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Solution

The fourth proportional to 2,464.31, 3,697.07 and 1,640.54 is: 2,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.31 : 3,697.07 = 1,640.54 : x
  2. Step 2: Convert to fraction form
    2,464.31/3,697.07 = 1,640.54/x
  3. Step 3: Cross multiply
    2,464.31x = 3,697.07 × 1,640.54
  4. Step 4: Simplify right side
    2,464.31x = 6,065,164.53
  5. Step 5: Solve for x
    x = 6,065,164.53/2,464.31
  6. Step 6: Final answer
    x = 2,461.21

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